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Differentiable dynamical systems

Most popular at the top

  • Fractal Geometryby J M Blackledge; A K Evans; M J Turner

    Elsevier Science 2002; US$ 95.00

    International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e.,... more...

  • New Methods for Chaotic Dynamicsby Nikolai Alexandrovich Magnitskii; Sergey Vasilevich Sidorov

    World Scientific Publishing Company 2006; US$ 153.00

    This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. The transition... more...

  • Discrete Dynamics and Difference Equationsby Saber N. Elaydi; Henrique Oliveira; Jose Manuel Ferreira

    World Scientific Publishing Company 2010; US$ 183.00

    This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems. more...

  • Elegant Chaosby Julien Clinton Sprott

    World Scientific Publishing Company 2010; US$ 136.00

    This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant.... more...

  • Dynamical Systems - A Renewal of Mechanismby S. Diner; D. Fargue; G. Lochak

    World Scientific Publishing Company 1986; US$ 122.00

    This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms ? Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics;... more...

  • Lectures on Dynamical Systems, Structural Stability and Their Applicationsby K.K. Lee

    World Scientific Publishing Company 1992; US$ 156.00

    The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists.... more...

  • Dynamical Systems and Microphysicsby Austin Blaquiere

    Elsevier Science 1984; US$ 72.95

    Dynamical Systems and Microphysics: Control Theory and Mechanics contains the proceedings of the Third International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held in Udine, Italy, on September 4-9, 1983. The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability... more...

  • Discrete Dynamical Systemsby Oded Galor

    Springer 2007; US$ 59.99

    Provides an introduction to the analysis of discrete dynamical systems. This book analyzes the factors that govern the quantitative and qualitative behavior of discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for systems that do not permit explicit solutions. more...

  • Dynamical Systemsby A. R. Bednarek; L. Cesari

    Elsevier Science 1977; US$ 93.95

    Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976. This book discusses the principle of exchange of stability; weak-invariance and rest points in control systems; local controllability in nonlinear systems;... more...

  • Iterated Maps on the Interval as Dynamical Systemsby Pierre Collet; Jean-Pierre Eckmann

    Springer 2009; US$ 69.95

    Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding... more...